They say buses will carry an extra 800,000 people during the Games meaning a "massive" increase in work.
Two thirds of London's buses were brought to a halt and the union has warned of more walkouts to come up to and even during the Olympics.
Unite is now demanding £600 for each of more than 20,000 workers saying they will add £100 every time they go on strike to make-up for lost wages.
Len McCluskey, Unite general secretary, warned as "inevitable" that more London-wide bus strike will take place unless there is a deal over Olympic bonus payments.
He used his speech at the opening the the union's annual general meeting at Brighton to call on the Mayor and the bus companies to "sort it out" of face further walkouts.
Mr McCluskey told delegates: "This is a straightforward dispute about fairness - giving hardworking bus workers the same bonus for facing challenges that have already been awarded to other transport workers - and a fraction of the bonuses being paid to Transport for London bosses.
"I say to Boris Johnson and the rest of the bus companies, sort it out or more strikes are inevitable."
